Mathematics, 11.03.2020 17:02 lindselu

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet
installed.

Answers: 2

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Answers

Answer from: PlzNoToxicBan

Part 1) y=1.50x+40

Part 2) The domain is the interval [0,∞)

Part 3) The range is the interval [40,∞)

Step-by-step explanation:

The complete question is

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed. The relationship between the total cost for labor and the amount of carpet installed is . The domain of the relation is x ≥ . The range of the relation is y ≥

Part 1)

Let

x ----> square feet of carpet installed

y ---> the total cost for labor

we know that

The linear equation in slope intercept form is equal to

y=mx+b

In this problem we have

The slope is equal to

$m=\$1.50\ per\ square\ foot$

The y-intercept or initial value is

$b=\$40$

substitute

y=1.50x+40

This is a non proportional relationship between the variables x and y (because the line don't pass through the origin)

Part 2) Find the domain of the relation

Remember that

The domain of a function is the set of all possible values of x

x ----> square feet of carpet installed

The domain is the amount of carpet installed

$x\geq 0$

The domain is the interval [0,∞)

Part 3) Find the range of the relation

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

y ---> the total cost for labor

The range is the total cost for labor

For x=0

The value of y=$40

The range is the interval [40,∞)

$y\geq 40$

Answer from: Quest

answer: dead jah

step-by-step explanation:

bullet + jah= dead jah

Answer from: Quest

{x = -1/2 , y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer: {x = -1/2 , y = -1

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A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total c...